w=[1/mn(m^2+n^2)^2)]{sin(m*pi/2)sin(n*pi/2)}
where m and n varies from 1 to 11.
for m=1, n=1,3,5,7,9,11.
for m=2, n=1,3,5,7,9,11.
for m=3, n=1,3,5,7,9,11.
and so on.
Instead of 36 sets of combinations, I need one formula to calculate the set of these 36 combinations and get respective values of w.
Please help me with this equation. I need to solve it in excel.
P.S I'm beginner.
You may create column and rows with heading values of n and m respectively, and calculate the value of w at their intersection. For auto-completion of formula by dragging, you will have to use $ symbol for referencing. See the representation below:
m\n 1 3 5 7 9 11
1 w(1,1) w(1,3) w(1,5) w(1,7) w(1,9) w(1,11)
2 w(2,9) w(3,9) ... so on
3 ...
4
5
6
.
.
Instead of numbers above in w(m,n) use references of column while dragging with a $ sign so that the header row does not change.
EDIT: You need to type the formula only once in at the intersection of (1,1)
Related
Firstly, we have an array of predetermined factors, ie. V-Z;
their attributes are 3, the first two (•xM) multiplied giving the 3rd.
f ... factors
• ... cap, the values in the data set may increase max
m ... fixed multiplier
p ... let's call it power
This is a separate, standalone array .. we'd access with eg. VLOOKUP
f • m pwr
V 1 9 9
W 2 8 16
X 3 7 21
Y 4 6 24
Z 5 5 25
—————————————————————————————————————————————
Then we have 6 columns, in which the actual data to be processed is in, & thereof derive the next-level result, based on the interaction of both samples introduced.
In addition, there are added two columns, for balance & profit.
Here's a short, 6-row data sample:
f • m bal profit
V 2 3 377 1
Y 2 3 156 7
Y 1 1 122 0
X 1 2 -27 2
Z 3 3 223 3
—————————————————————————————————————————————
Ultimately, starting at the end, we are comparing IF -27 inverted → so 27 is within the X's power range ie. 21 (as per the first sample) .. which is then fed into a bigger formula, beyond the scope of this post.
This can be done with VLOOKUP, all fine by now.
—————————————————————————————————————————————
To get to that .. for the working example, we are focusing coincidentally on row5, since that's the one with the first negative value in the 'balance' column, so ..
on factorX = which factor exactly is to us unknown &
balance -27 = which we have to locate amongst potentially dozens to hundreds of rows.
Why!?
Once we know that the factor is X, based on the * & multiplier pertaining to it, then we also know which 'power' (top array) to compare -27, as the identified first negative value in the balance column, to.
Is that clear?
I'd like to know the formula on how to achieve that, & (get to) move on with the broader-scope work.
—————————————————————————————————————————————
The main issue for me is not knowing how to identify the first negative or row -27 pertains to, then having that piece of information how to leverage it to get the X or identify the factor type, especially since its positioned left of the latter & to the best of my knowledge I cannot use negative column index number (so, latter even if possible is out of the question anyway).
To recap;
IF(21>27) = IF(-21<-27)
27 → LOCATE ROW with the first negative number (-27)
21 → IDENTIFY the FACTOR TYPE, same row as (-27)
→ VLOOKUP pwr, based on factor type identified (top array, 4th column right)
→ invert either 21 to a negative number or (-27) to the positive number
= TRUE/FALSE
Guessing your columns I'll say your first chart is in columns A to D, and the second in columns G to K
You could find the letter of that factor with something like this:
=INDEX(G:G,XMATCH(TRUE,INDEX(J:J<0)))
INDEX(J:J<0) converts that column to TRUE and FALSE depending on being negative or not and with XMATCH you find the first TRUE. You could then use that in VLOOKUP:
=VLOOKUP(INDEX(G:G,XMATCH(TRUE,INDEX(J:J<0))),A:D,4,0)
That would return the 21. You can use the first concept too to find the the -27 and with ABS have its "positive value"
=VLOOKUP(INDEX(G:G,XMATCH(TRUE,INDEX(J:J<0))),A:D,4,0) > INDEX(J:J,XMATCH(TRUE,INDEX(J:J<0)))
That should return true or false in the comparison
I'm trying to make a formula that would do the following: There are say 10 categories 1-10, given a number x and y, the line is in category 3 if and only if x is between 1 and 2 and y is between 5-7 for example. I don't know how to use VLookup given the multiple conditions and the two ranges that are completely different and not in a sequential order.
I tried using index match:
=INDEX(B5:B15,MATCH(1,IF(AND(K5>=C5:C15,K5<=D5:D15),1,0)*IF(AND(L5>=E5:E15,L5<=F5:F15),1,0),0))
but this returns an error where column B are the categories, K5 and L5 are x and y respectively and column C is the lower bounds for x per category with D as upper bounds and same for E and F for y.
Here's a mock representation of the data and rules:
Data
x y category
1.2 12 1
1.5 5 2
0.98 23 3
.
.
.
Rules
Category X-LB X-UB Y-LB Y-UB
1 1 2 9 15
2 1.5 1.7 1 9
3 0.8 1 20 23
.
.
.
LB is lower bound and UB is upper bound. For example given x and y above using the rules table we find the expected return column.
Thank you,
If you have only category which will fit the bill in each case, one way is to use SUMPRODUCT.
Formula in C2 and down is
=SUMPRODUCT(($B$10:$B$12<=A2)*($C$10:$C$12>=A2)*($D$10:$D$12<=B2)*($E$10:$E$12>=B2)*($A$10:$A$12))
In M5, copied down :
=INDEX($B$5:$B$15,MATCH(1,INDEX(($K5>=$C$5:$C$15)*($K5<=$D$5:$D$15)*($L5>=$E$5:$E$15)*($L5<=$F$5:$F$15),0),0))
Or,
Another shorter option.
Using SUMIFS function, formula in M5 copied down :
=SUMIFS($B:$B,$C:$C,"<="&$K5,$D:$D,">="&$K5,$E:$E,"<="&$L5,$F:$F,">="&$L5)
I had to do a little work with excel but I am stuck at the following point:
A B C D E F ....
1
2
3 "A" 1
4 "B" 0
5 "C" 1
6 "D" 2
7
8
9
My table looks something like this.
In B3:B6 I do have 4 names, in C3:C6, I do have the corresponding scores.
Now, I would like to order the names by their given points and display them in E3:E6
I am not that familiar with excel so I am very happy for any help.
Greetings,
Finn
First get the numbers in order with Large Function:
=LARGE($C$3:$C$6,ROW(A1))
Put that in F3 and copy down 4. It will list the numbers in order.
Then in E3 put this formula:
=INDEX(B:B,AGGREGATE(15,6,ROW($C$3:$C$6)/($C$3:$C$6=F3),COUNTIF($F$3:F3,F3)))
Which looks up the corresponding name.
I have an excel worksheet with something like below. The desired output are as shown in column G and the last row, which concatenates all the values in columns/rows and gives the value of the resultant expression.
It's actually some kind of a puzzle where the aim is to replace some numbers with operators such that the values in G matches with a specified value. I am replicating the same in excel from a paper version.
A B C D E F G
3 3 33
4 1 + 2 43
4 0 + 5 6 4 604
7 3 2 / 1 2 61
3 7 2 7 3727
3 0 30
47 4033 304 0.4 2617 42
I have tried the following formula:
="="&A2&B2&C2&D2&E2&F2
However it gives the result in text format instead of 43, which I expected:
=41+2
Is there any way to give the final output as 43.
I developed (recorded and modified) a macro which simply copies the above result, paste it as values in Column H and then run 'text to columns' on the column H which gives me the desired output exactly as expected. However, I still can't figure out how to do the same with the row.
Is there any way to achieve the above with a formula only?
I want to avoid using macros as the undo functionality is lost but suggestions are welcome.
You could create a UDF that uses Application.Evaluate to evaluate the text string into a value. Then your formula would just need =Eval(A2&B2&C2&D2&E2&F2)
Function Eval(txt As String)
Eval = Application.Evaluate(txt)
End Function
I am trying to find the equation of a plane of best fit to a set of x,y,z data using the LINEST function. Some of the z data is missing, meaning that there are #N/As in the z column. For example:
A B C
(x) (y) (z)
1 1 1 5.1
2 2 1 5.4
3 3 1 5.7
4 1 2 #N/A
5 2 2 5.2
6 3 2 5.5
7 1 3 4.7
8 2 3 5
9 3 3 5.3
I would like to do =LINEST(C1:C9,A1:B9), but the #N/A causes this to return a value error.
I found a solution for a single independent variable (one column of known_x's, i.e. fitting a line to x,y data), but I have not been able to extend it for two independent variables (two known_x's columns, i.e. fitting a plane to x,y,z data). The solution I found is here: http://www.excelforum.com/excel-general/647448-linest-question.html, and the formula (slightly modified for my application) is:
=LINEST(
N(OFFSET(C1:C9,SMALL(IF(ISNUMBER(C1:C9),ROW(C1:C9)-ROW(C1)),
ROW(INDIRECT("1:"&COUNT(C1:C9)))),0,1)),
N(OFFSET(A1:A9,SMALL(IF(ISNUMBER(C1:C9),ROW(C1:C9)-ROW(C1)),
ROW(INDIRECT("1:"&COUNT(C1:C9)))),0,1)),
)
which is equivalent to =LINEST(C1:C9,A1:A9), ignoring the row containing the #N/A.
The formula from the posted link could probably be adapted but it is unwieldy. Least squares with missing data can be viewed as a regression with weight 1 for numeric values and weight 0 for non-numeric values. Based on this observation you could try this (with Ctrl+Shift+Enter in a 1x3 range):
=LINEST(IF(ISNUMBER(C1:C9),C1:C9,),IF(ISNUMBER(C1:C9),CHOOSE({1,2,3},1,A1:A9,B1:B9),),)
This gives the equation of the plane as z=-0.2x+0.3y+5 which can be checked against the results of using LINEST(C1:C8,A1:B8) with the error row removed.